@jmrook
Well, if you had an electrician install it and you did NOT have a doorbell previously, how did he wire it? Did he install a hard-wired doorbell transformer, or a plug-in transformer/adapter? In either case, there would be 2 wires running to your doorbell
A couple of years ago we added a 1st gen Google Nest Hello Doorbell to our third entrance, which had never had a doorbell. Since there was an indoor outlet near the door, we bought an OhmKat Doorbell Power Supply (https://www.ohmkat.com/products/ohmkat-video-doorbell-power-supply-compatible-with-nest-hello-no-exi...) and ran its wires to the doorbell. This plug-in adapter does NOT require use of the chime connector that comes with the doorbell.
If your electrician connected your doorbell to a hard-wired transformer, I think you they should have connected the chime connector.
If you have the 2nd gen Google Nest Doorbell (as indicated in your post) it needs to be wired to a transformer to provide electrical power to the doorbell, even if you do NOT have a chime. (If you do NOT have a chime, you turn off the "Indoor chime" option, but you still need electrical power.)
In the prompts in the install process, I think you just selectd 2 wires when it asks you how many wires are connected to your chime. (They've never updated the install instructions to provide for customers who do NOT have an indoor chime.)
If you want to get notifications on your phone, you need to turn on "Push notifications". For "Visitor announcements" on your Nest Hubs see: https://support.google.com/googlenest/answer/7672451?hl=en&sjid=10987404625206692579-NC
